What is the Least Common Multiple of 96826 and 96840?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 96826 and 96840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96826 and 96840, than apply into the LCM equation.

GCF(96826,96840) = 2
LCM(96826,96840) = ( 96826 × 96840) / 2
LCM(96826,96840) = 9376629840 / 2
LCM(96826,96840) = 4688314920

Least Common Multiple (LCM) of 96826 and 96840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96826 and 96840. First we will calculate the prime factors of 96826 and 96840.

Prime Factorization of 96826

Prime Factorization of 96840

Now multiplying the highest exponent prime factors to calculate the LCM of 96826 and 96840.

LCM(96826,96840) = 2³ × 48413¹ × 3² × 5¹ × 269¹
LCM(96826,96840) = 4688314920